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\title{Participatory Budgeting: Algorithms and Complexity}
\author{
\authorname{Tobias Eidelpes} \\
\studentnumber{01527193} \\
\curriculum{033 534} \\
\email{e1527193@student.tuwien.ac.at}
}
\begin{document}
\maketitle
\begin{abstract}
\end{abstract}
\section{Introduction}
\emph{Participatory Budgeting} (PB) is a process of democratic deliberation that
allows residents of a municipality to decide how a part of the public budget is
to be spent. It is a way to improve transparency and citizen involvement which
are two important cornerstones of a democracy. PB was first realized in the
1990s in Porto Alegre in Brazil by the Workers' Party to combat the growing
divide between the rich city center and the poor living in the greater region.
Owing to its success in the south of Brazil, PB quickly spread to North America,
Europe, Asia and Africa.
Although the process is heavily adapted by each municipality to suit the
environment in which the residents live in, it generally follows the following
stages \autocite{participatorybudgetingprojectHowPBWorks}:
\begin{description}
\item [Design the process] A rule book is crafted to ensure that the process
is democratic.
\item [Collect ideas] Residents propose and discuss ideas for projects.
\item [Develop feasible projects] The ideas are developed into projects that
can be undertaken by the municipality.
\item [Voting] The projects are voted on by the residents.
\item [Aggregating votes \& funding] The votes are combined to determine a
set of winning projects which are then funded.
\end{description}
\noindent The two last stages \emph{voting} and \emph{aggregating votes} are of
main interest for computer scientists, economists and social choice theorists
because depending on how voters elicit their preferences (\emph{balloting}) and
how the votes are aggregated through the use of algorithms, the outcome is
different.
\textcite{azizParticipatoryBudgetingModels2020} define a taxonomy of
participatory budgeting scenarios where projects can be either divisible or
indivisible and bounded or unbounded.
\subsection{Participatory budgeting scenario}
\label{subsec:Participatory budgeting scenario}
Formally, a PB scenario consists of a set of projects $P = \{ p_1,\dots,p_m \}$
where each project $p\in P$ has an associated cost $c(p):P\rightarrow\mathbb{R}$.
\section{Section 2}
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\end{document}